## Treatise on materials science and technology, Volume 3 |

### From inside the book

Results 1-3 of 34

Page 59

Comparison of the measured variation of Young's modulus in the rolling plane (

heavy line) with the variation

10} <1 12> and 50% {112}<111>; (b) {351}<112>; and (c) {358}<523> [after Alers

and Liu (707)]. single crystal stiffness cy ; ER , based on the assumption of a

random distribution of grain orientations and

Reuss method of averaging over the single crystal compliances Sy. Alers and Liu

made a ...

Comparison of the measured variation of Young's modulus in the rolling plane (

heavy line) with the variation

**calculated**(thin lines) from the textures (a) 50% {110} <1 12> and 50% {112}<111>; (b) {351}<112>; and (c) {358}<523> [after Alers

and Liu (707)]. single crystal stiffness cy ; ER , based on the assumption of a

random distribution of grain orientations and

**calculating**the modulus using theReuss method of averaging over the single crystal compliances Sy. Alers and Liu

made a ...

Page 61

Fig. 26. The thin lines represent the

cold- rolled Cu-22% Zn alloy in which a {1 10} <1 12> texture is assumed. The

solid line shows the observed modulus variation [after Alers and Liu (101)].

consistent with the modulus data. However, this does not rule out other choices of

ideal orientations which are consistent with the pole figure and the modulus data.

Figure 25 shows as a solid curve the modulus variation measured on a sample of

re- ...

Fig. 26. The thin lines represent the

**calculated**variation of Young's modulus of acold- rolled Cu-22% Zn alloy in which a {1 10} <1 12> texture is assumed. The

solid line shows the observed modulus variation [after Alers and Liu (101)].

consistent with the modulus data. However, this does not rule out other choices of

ideal orientations which are consistent with the pole figure and the modulus data.

Figure 25 shows as a solid curve the modulus variation measured on a sample of

re- ...

Page 63

Comparison of the observed Young's modulus variation in the Cu-28% Zn alloy

with that

Alers (110)]. there are no intensity maxima other than the {1 10} <1 12>

orientations. For this reason, the peripheral spread in the pole figures must also

be considered. We shall therefore treat the second component as an incomplete

fiber texture. This type of spread is clearly indicated in the deformation pole

figures of other ...

Comparison of the observed Young's modulus variation in the Cu-28% Zn alloy

with that

**calculated**from the assumption of a {1 10}<1 12> texture [after Liu andAlers (110)]. there are no intensity maxima other than the {1 10} <1 12>

orientations. For this reason, the peripheral spread in the pole figures must also

be considered. We shall therefore treat the second component as an incomplete

fiber texture. This type of spread is clearly indicated in the deformation pole

figures of other ...

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### Common terms and phrases

Alers aluminum Andreatch anisotropic Appl axis calculated compressive stress copper crystallographic orientation cubic crystals determine direction cosines displacement gradients displacements along 001 elastic moduli elastic wave propagation energy-flux vector equation of motion experimental germanium given by Eq hydrostatic pressure hydrostatic pressure longitudinal hydrostatic pressure transverse ideal orientation interaction isotropic solid linear elastic wave longitudinal wave longitudinal wave propagating materials mode transverse wave nonlinear elastic wave obtain Papadakis particle displacements phonons Phys plane wave pressure longitudinal wave pressure transverse wave pure mode longitudinal pure mode transverse quasitransverse waves rolling direction rolling plane second harmonic second-order elastic constants shear wave single crystals six third-order elastic stress along 001 stress along 110 Substituting Eqs symmetry test specimen texture third-order elastic constants Thurston and Brugger transducer transverse wave ultrasonic beam ultrasonic pulse uniaxial stress values wave along 100 wave normal wave speeds wave velocity Young's modulus